Influence of shear parameters on mixed-mode fracture of concrete

International Journal of Fracture

Volumn 118, Issue 2, 2002, Pages 163-189

  Galvez J C ^a   Cendon D A ^b   Planas, J ^b  

^a UNIVERSITY OF CASTILLA LA MANCHA   (Spain)

^b UNIVERSIDAD POLITÉCNICA DE MADRID   (Spain)

Author keywords

Cohesive crack models; Concrete; Finite element method; Fracture; Mixed mode; Numerical analysis; Plasticity

Indexed keywords

BRITTLENESS; CONCRETES; MATHEMATICAL MODELS; SHEAR STRESS;

QUASIBRITTLE MATERIALS;

FRACTURE;

CONCRETE;

EID: 0344519564     PISSN: 03769429     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022883132117     Document Type: Article

References (68)

1. Arrea, M. and Ingraffea, A. (1982). Mixed Mode Crack Propagation in Mortar and Concrete, Report 81-13, Dpt. of Structural Engineering, Cornell University.
2. ASTM C 496-96 (1999). Splitting tensile strength of cylindrical concrete specimens, Annual Book of ASTM Standards, ASTM, 4,02, pp. 266-269.
3. ASTM C 39-96 (1999). Standard method for compressive strength of cylindrical concrete specimens, Annual Book of ASTM Standards, ASTM, 4.02, pp. 18-22.
4. ASTM C 469-96 (1999). Standard method for static modulus of elasticity and Poisson's ratio of concrete in compression, Annual Book of ASTM Standards, ASTM, 4.02. pp. 241-244.
5. CEB-FIP (1990). Model Code 1990, Lausanne, (1991).
6. Ballatore, E., Carpinteri, A., Ferrara, G. and Melchiorri, G. (1990). Mixed mode fracture energy of concrete, Engineering Fracture Mechanics 35, 145-157.
7. Bažant, Z.P., Kim, J.K., and Pfeiffer, P.A. (1986). Non linear fracture properties from size effect tests, Journal of Structural Engineering. ASCE, 112, 289-307.
8. Bažant, Z.P. and Pfeiffer, P.A. (1985). Tests of shear fracture and strain-softening in concrete, Proc. of 2nd Symposium on the Interaction of Non-Nuclear Munitions with Structures, Florida.
9. Bažant, Z.P. and Pfeiffer, P.A. (1986). Shear fracture tests of concrete, Materials and Structures 19, 111-121.
10. Bažant, Z.P. and Planas, J. (1998). Fracture and Size Effect in Concrete and Other Quasibrittle Materials, CRC Press.
11. Biolzi, L. (1990). Mixed mode fracture in concrete beams, Engineering Fracture Mechanics 35, 187-193.
12. Bocca, P., Carpinteri, A. and Velente S. (1990). Size effects in the mixed mode crack propagation: softening and snap-back analysis, Engineering Fracture Mechanics 35, 159-170.
13. Bocca, P., Carpinteri, A. and Valente, S. (1991). Mixed mode fracture of concrete. International Journal Solids and Structures 27, 1139-1153.
14. de Borst, R. and Nauta, P. (1985). Non-orthogonal cracks in a smeared finite element model. Engrg. Computations 2, 35-46.
15. Brock, D. (1986). Elementary Engineering Fracture Mechanics, Martinus Nijhoff Pub., pp. 374-380.
16. Carol, I., Prat, P. and López, M. (1997). Normal/shear cracking model: Application to discrete crack analysis, Journal of Engineering Mechanics, ASCE 123, 765-773.
17. Carpinteri, A., Valente, S., Ferrar, G. and Melchiorri, G. (1993). Is mode II fracture energy a real material property?, Computers and Structure 48, 397-413.
18. Carpinteri, A. (1994). Cracking of strain-softening materials, Static and Dynamic Fracture Mechanics, Aliabadi, M.H. et al. eds., Computational Mechanics Publications, Southampton, pp. 311-365.
19. Cedolin, L., GianLuigi, B., Nardello, P. (1999). Mode II fracture resistance of concrete, Concrete Science and Engineering, RILEM 1, 1-9.
20. Červenka, V. (1970). Inelastic finite element analysis of reinforced concrete panels under in-plane loads, Ph. D. Thesis, University of Colorado.
21. Červenka, J. (1994). Discrete Crack Modelling in Concrete Structures, Ph. D. Thesis, University of Colorado.
22. Cope, R., Rao, P., Clark, L. and Norris, P. (1980). Modelling of reinforced concrete behaviour for finite element analysis of bridge slabs, Numerical Methods for Non-linear Problems, C. Taylor eds., Pineridge Press. pp. 457-470.
23. Cendón, D.A., Gálvez, J.C., Elices, M. and Planas, J. (2000). Modelling the fracture of concrete under mixed loading, International Journal of Fracture 103, 293-310.
24. Cendón, D.A. (2002). Study of the Mixed Mode Fracture of Concrete and Mortar. Ph. D. Thesis (in Spanish), Polytechnic University of Madrid.
25. Crisfield, M.A. (1991). Non-linear Finite Element Analysis of Solids and Structures, Vol. 1, John Wiley and Sons Pubs.
26. di Prisco, M., Ferrara, L., Meftah, F., Pamin, J., de Borst, R., Mazars, J. and Reynouard, J. (2000). Mixed mode fracture in plain and reinforced concrete: some results on benchmark tests, International Journal of Fracture 103, 127-148.
27. di Prisco, M. and Ferrara, L. (1998). On the evaluation of mode II fracture energy in high strength concrete. Computational Modelling of Concrete Structures, de Borst, R., Bićanić, N., Mang, H. and Meschke, G. eds., Balkema ed., pp. 409-418.
28. Elices, M. and Planas, J. (1989). Material models, Fracture Mechanics of Concrete Structures, L. Elfgren ed., Chapman and Hall, London, pp. 16-66.
29. Erdogan, F. and Sih, G.C. (1963). On the crack extension in plates under plane loading and transverse shear. Journal of Basic Engineering 85, 519-527.
30. FRANC2D: A Two-Dimensional Crack-Propagation Simulator, Version 2.7, Wawryzynck, P. and Ingraffea, A.
31. Gálvez, J.C., Elices, M., Guinea, G.V. and Planas, J. (1996). Crack trajectories under mixed mode and non-proportional loading, International Journal of Fracture 81, 171-193.
32. Gálvez, J.C., Elices, M., Guinea, G.V. and Planas, J. (1998). Mixed mode fracture of concrete under proportional and nonproportional loading, International Journal of Fracture 94, 267-284.
33. Gálvez, J.C., Elices M. and Cendón, D.A. (2000a). Fracture of double-edge notched specimens of concrete under compression loading, Construction Materials: Theory and Application, Ibidem-Verlag, Stuttgart, pp. 95-105.
34. Gálvez, J.C. Červenka, J., Cendón, D.A. and Saouma, V. (2000b). A discrete approach to normal/shear cracking of concrete, Cement and Concrete Research, 32, 1567-1585.
35. García, V.O. Gettu, R. and Carol, I. (2000). Numerical analysis of mixed mode fracture in concrete using interface elements. European Congress on Computational Methods in Applied Sciences and Engineering, Barcelona. Spain.
36. Guinea, G.V., Planas, J. and Elices, M. (1994). A general bilinear fit for softening curve of concrete. Materials and Structures, RILEM 27, 99-105.
37. Guo, Z.K., Kobayashi, A.S. and Hawkins, N.M. (1994a). Mixed modes I and II concrete fracture: an experimental analysis. Journal of Applied Mechanics 61, 815-821.
38. Guo, Z.K., Kobayashi, A.S. and Hawkins, N.M. (1994b). Fracture process zone in mixed mode dynamic fracture of concrete, Fracture and Damage in Quasibritle Structures, pp. 217-229.
39. Gupta, A. and Akbar, H. Cracking in reinforced concrete analysis, Journal of Structural Engineering. ASCE 110, 1735-1746.
40. Hassanzadeh, M. (1992). Behaviour of fracture process zones in concrete influenced by simultaneously applied normal and shear displacements. Ph. D. Thesis, Report TVBM-1010, Lund Institute of Technology.
41. Hillerborg, A., Modéer, M. and Petersson, P. (1976). Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements, Cement and Concrete Research 6, 773-782.
42. losipescu, N. (1967). New accurate procedure for single shear testing of metals, Journal of Materials 2, 537-566.
43. Jenq, Y. and Shah, S.P. (1988). Mixed-mode fracture of concrete, International Journal of Fracture 38, 123-142.
44. Kupfer, H.B. and Gerstle, K.H. (1973). Behaviour of concrete under biaxial stresses, Journal of the Engineering Mechanics 99, 853-866.
45. Mahajan, R.V. and Ravi-Chandar, K. (1989). An experimental investigation of mixed-mode fracture, International Journal of Fracture 41, 235-252.
46. Menétrey, P. and Willam, K.J. (1995). Triaxial failure criterion for concrete and its generalization, ACI Structural Journal 92, 311-318.
47. Nooru-Mohamed, M.B. (1992). Mixed Mode Fracture of Concrete: An Experimental Approach, Ph. D. Thesis, Delft University.
48. Nooru-Mohamed, M.B. and Van Mier J.G. (1990). Geometrical and structural aspects of concrete fracture, Engineering Fracture Mechanics 35, 617-628.
49. Peterson, P. (1981). Crack growth and development of fracture zones in plain concrete and similar materials, Report TVBM-1006, Division of Building Materials, Lund Institute of Technology.
50. Rashid, Y. (1968). Analysis of prestressed concrete pressure vessels, Nuclear Engineering and Design, Balkema Ed., pp. 265-286.
51. Reich, R., Plizari, G., Červenka, J. and Saouma, V. (1993). Implementation and validation of a nonlinear fracture model in 2D/3D finite element code, Numerical Models in Fracture Mechanics, Wittmann Ed., Balkema Ed., pp. 265-287.
52. Reich, R., Červenka, J. and Saouma, V. (1997). MERLIN: A three-dimensional finite element program based on a mixed iterative solution strategy for problems in elasticity, plasticity, linear and nonlinear fracture mechanics, Technical Report, Dept. of Civil Engineering, University of Colorado, Boulder, and Electric Power Research Institute, Palo Alto, California.
53. Reinhardt, H., Ožbolt, J., Xu, S. and Dinku, A. (1997). Shear of structural concrete members and pure mode II testing, Advanced Cement Based Materials 5, 75-85.
54. 1c of normal strength concrete, Materials and Structures 31, 296-302.
55. 11F for concrete, International Journal of Fracture 105, 107-125.
56. RILEM, 50-FMC Comittee Fracture Mechanics of Concrete (1986). Determination of the fracture energy of mortar and concrete by means of three-point bend tests of notched beams, Matériaux et Constructions 18, 285-290.
57. Rots, J. (1988). Computational modelling of concrete fracture, Ph. D. Thesis, Delft University.
58. Saleh, A. and Aliabadi, M. (1995). Crack growth analysis in concrete using boundary element method, Engineering Fracture Mechanics 51, 533-545.
59. Saleh, A. and Aliabadi, M. (1996). Boundary element analysis of the pullout behaviour of an anchor bolt embedded in concrete, Mechanics of Cohesive-Frictional Materials 1, 235-249.
60. Schlangen, E. (1993). Experimental and Numerical Analysis of Fracture Processes in Concrete Ph. D. Thesis. Delft University.
61. Schlangen, E. and Van Mier, J.G. (1993). Mixed-mode fracture propagation: a combined numerical and experimental study. Fracture and Damage of Concrete and Rock, pp. 166-175.
62. Suidan, M. and Schnobrich, W. (1973). Finite element analysis of reinforced concrete, Journal Structural Division, ASCE 99, 2109-2122.
63. Swartz, S.E., Lu, L. and Tang, L. (1988a). Mixed-mode fracture toughness testing of concrete beams in three-point bending. Materials and Structures 21, 33-40.
64. Swartz, S.E., Lu, L., Tang, L. and Refai, T. (1988b). Mode II fracture parameters estimates for concrete from beam specimens, Experimental Mechanics 28, 146-153.
65. nd ed., Paris Productions Incorporated, St. Louis, p. 4.13.
66. Valente, S. (1995). On the cohesive crack model in mixed-mode conditions, Fracture of Brittle Disordered Materials: Concrete, Rock and Ceramics, E & FN Spon, pp. 66-80.
67. Willam, K., Pramono, E. and Stur, S. (1987). Fundamental issues of smeared crack models, Proc. SEM-RILEM Int. Conf. on Fracture of Concrete and Rock, Shah and Swartz eds., SEM, pp. 192-207.
68. Xie, M. and Gerstle, W. (1995). Energy-based cohesive crack propagation modeling, Journal of Engineering Mechanics 121, 1349-1358.